Rotation from Oscillating Axis Of Rotation

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SUMMARY

The discussion centers on the mechanics of a rod rotating about its end on an axle that moves linearly and periodically. The key conclusion is that the rod spins due to the tangential velocity imparted by the axle's movement, which applies torque relative to the center of mass (COM) of the rod. This torque causes the rod to oscillate and rotate simultaneously, except in two specific positions where the oscillation direction aligns with the rod's orientation.

PREREQUISITES
  • Understanding of rotational dynamics
  • Familiarity with torque and its effects on rigid bodies
  • Knowledge of center of mass (COM) concepts
  • Basic principles of oscillatory motion
NEXT STEPS
  • Research the principles of torque in rotational motion
  • Study the effects of oscillatory motion on rigid bodies
  • Explore the relationship between linear and angular velocity
  • Learn about the dynamics of systems with multiple degrees of freedom
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone interested in the dynamics of rotating systems and oscillatory motion.

Omikhiro
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Hello. I was considering a case where a rod could rotate about its end freely on an axle. The axle is moved back and forth linearly and periodically, causing the rod to spin.

Why is the rod spinning? Is it because after the axle has moved its distance in one direction and has stopped to move in the other direction, it is adding tangential velocity to the rod?
 
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I sketch showing the motion would equal many words.
 
It is applying torque with respect to the COM of the rod except two positions where the direction of oscillations align with the rod, thus the rod rotates and oscillates at the same time.
 

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